As we've journeyed together through the realms of linear algebra, we've uncovered the powers of matrices in transforming shapes and spaces, akin to casting spells that reshape our perception of the ...

In this assignment, I will be taking a look at the Yale Face data set. We will be examining the correlation between the faces by using the dot product of the X matrix and the transpose X matrix. Also, ...

These two multiplications display a unique behavior to other matrix products. Matrices can be considered linear transformation operations performed on a vector. When multiplied by the matrix, these ...

Abstract: This paper presents a novel surface registration technique using the spectrum of the shapes, which can facilitate accurate localization and visualization of non-isometric deformations of the ...

Here are three examples that we will consider. In each case, we have pre-computed the eigenvalues and eigenvectors (check them yourself). \[ A = \begin{bmatrix} 2 & 2 ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

This is a preview. Log in through your library . Publisher Information "The Society for Industrial and Applied Mathematics is a leading international association for applied mathematics, and its ...

Abstract: Throughout many scientific and engineering fields, including control theory, quantum mechanics, advanced dynamics, and network theory, a great many important applications rely on the ...